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How to study Primary 1 Mathematics Counting and Place Value | MOE Syllabus

Counting is more than reciting number words. A Primary 1 child needs to connect each word to one object, understand that the final count tells the total, and see how ten ones become one ten. Those connections make two-digit numbers easier to read and compare.

Start with a small collection of familiar objects and work towards drawings and numerals. If your child can count aloud but miscounts a collection, slow the task down. If the counting is secure but 24 and 42 become confused, focus on tens and ones rather than repeating the same counting exercise.

MOE's 2021 Primary Mathematics syllabus, updated October 2025 includes Primary 1 numbers up to 100. This guide offers original practice for part of that scope. It is not a complete syllabus checklist or an official assessment task.

STEP 1 OF 8

1. Count one object for each number word

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Place seven large counters on a table. Ask the child to move each counter into a new row while saying one number word. Moving the objects separates those already counted from those still waiting. The child should say “one” for the first counter, “two” for the second, and continue to seven.

Watch for two common slips: counting the same object twice and saying two words while touching one object. These are coordination difficulties in this task, not proof that the child does not know the number sequence. Use fewer objects and restore a steady one-to-one rhythm.

Ask, “How many counters are there altogether?” The final number, seven, gives the total. The child need not begin counting again every time the total is requested.

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STEP 2 OF 8

2. Keep the total when the arrangement changes

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Move the same seven counters farther apart. Ask whether the number has changed. No counter was added or removed, so the total remains seven. Spread-out objects can look like “more” because they occupy a longer row, but length of the arrangement is different from number of objects.

Let the child check by counting once if necessary. Then move the counters into a circle and ask the same question. Name what changed: the arrangement. Name what stayed the same: the number of counters.

Do not rush to remove counting support. The useful progress is that the child can explain why moving objects does not itself change the total.

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STEP 3 OF 8

3. Make a group of ten

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Prepare sixteen counters. Count ten of them and place that group inside a drawn circle. Leave the other six outside. Now describe the collection as one ten and six ones. The total is still sixteen; grouping has made the quantity easier to organise.

Use a bundle of ten sticks or a ten-frame if the child already knows that representation. Keep the meaning visible: the bundle contains ten ones. A bundle is not “one” in the same sense as a single loose stick.

Change the loose counters while keeping the group of ten. One ten and two ones is twelve; one ten and eight ones is eighteen. Say both the grouping and the number name.

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STEP 4 OF 8

4. Connect the grouping to the numeral

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In 16, the digit 1 records one ten and the digit 6 records six ones. The value of the 1 is ten in this position. In 61, the digit 6 records six tens and the digit 1 records one one. The same digits represent different values when their positions change.

Work through 24: two tens make twenty, and four ones make four. Therefore 24 = 20 + 4. Ask the child to build two groups of ten with four loose objects, draw that arrangement, then write 24.

Do not describe 24 as “two plus four”. That gives six and loses the place-value meaning. Say “two tens and four ones”, then connect it to twenty-four.

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STEP 5 OF 8

5. Give zero its place-value job

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Thirty contains three tens and zero ones, so it is written 30. The zero shows that there are no loose ones in the ones position. It helps distinguish thirty from three.

Compare 30 and 3 using objects or drawings. Three bundles of ten represent thirty. Three loose objects represent three. The zero is not decoration that can be dropped without changing the number.

Now compare 40 and 04. For ordinary whole-number writing, four is written 4; a leading zero does not turn it into forty. The location of the digit matters. Keep examples within the child's current school work and avoid adding several new rules at once.

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STEP 6 OF 8

6. Compare tens before ones

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Compare 36 and 42. Thirty-six has three tens; forty-two has four tens. Four tens already exceed three tens and six ones, so 42 is greater. There is no need to decide by looking only at 6 and 2.

Next compare 36 and 39. The tens are equal, so compare the ones. Nine ones exceed six ones; therefore 39 is greater. The child's explanation should identify which position decided the comparison.

Use the words “greater than”, “less than” and “equal to” before relying on symbols. If symbols are being taught, connect them to the spoken relationship rather than treating them as shapes to memorise.

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STEP 7 OF 8

7. Try independent practice

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  1. A collection has two groups of ten counters and seven loose counters. Write its number.
  2. Write 45 as tens and ones.
  3. Which is greater: 28 or 31? Explain.
  4. Which is smaller: 54 or 51? Explain.
  5. What does the zero show in 60?

Answers: 1. 27. 2. Four tens and five ones. 3. 31, because it has three tens while 28 has two tens. 4. 51; both have five tens, but one one is less than four ones. 5. There are zero ones; the number has six tens.

For a counting check, arrange nine counters in a row and then in a circle. Ask whether the total changes when only the arrangement changes. It remains nine.

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STEP 8 OF 8

8. Choose the next learning step

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If counting is unreliable, practise one-to-one matching with a smaller collection. If the total is secure but the grouping is unclear, practise making and opening groups of ten. If the grouping is understood but the numeral is wrong, connect the drawing to the written positions.

Use a short practice session and finish with one fresh example the child can explain. Parents can ask, “How many tens? How many ones?” without supplying the final numeral.

The aim is a quantity that the child can build, draw, read and describe. When those representations agree, place value becomes a useful understanding rather than a string of number names.

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